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Finding the Fourth Proportional to 310,727.40, 465,860.70 and 210,637.80

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Solution

The fourth proportional to 310,727.40, 465,860.70 and 210,637.80 is: 315,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,727.40 : 465,860.70 = 210,637.80 : x
  2. Step 2: Convert to fraction form
    310,727.40/465,860.70 = 210,637.80/x
  3. Step 3: Cross multiply
    310,727.40x = 465,860.70 × 210,637.80
  4. Step 4: Simplify right side
    310,727.40x = 98,127,872,954.46
  5. Step 5: Solve for x
    x = 98,127,872,954.46/310,727.40
  6. Step 6: Final answer
    x = 315,800.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.